1cristina1 1cristina1
  • 06-02-2019
  • Physics
contestada

What eccentricity value results in a circular orbit?

Respuesta :

skyluke89
skyluke89 skyluke89
  • 08-08-2019

Answer:

Zero

Explanation:

Given the equation of an ellipse:

[tex]\frac{x^2}{a^2}+\frac{y^2}{b^2}=1[/tex]

The eccentrity of an ellipse is given by:

[tex]e=\sqrt{1-\frac{b^2}{a^2}}[/tex]

For a circle, we have

[tex]a=b[/tex]

Therefore the eccentricity of a circle is

[tex]e=\sqrt{1-\frac{1^2}{1^2}}=0[/tex]

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